4.4.1 Suppose it is known that in a certain area of a large city the average number...

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4.4.1 Suppose it is known that in a certain area of a large city the average number of rats per quarter block is five. Assuming that the number of rats follows a Poisson distribution, find the probability that in a randomly selected quarter block:

a. There are exactly five rats.

b. There are more than five rats.

c. There are fewer than five rats.

d. There are between five and seven rats, inclusive.

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